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Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach. (English) Zbl 1146.39048
Summary: Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation \(f(2x+y)=4f(x)+f(y)+f(x+y) - f(x - y)\) in Banach spaces.

MSC:
39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
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